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(b) What is the average (not instantaneous) energy density (in Joules/m) of e/m radiation at the surface of the Sun?

(b) What is the average (not instantaneous) energy density (in Joules/m) of e/m radiation at the surface of the Sun?

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#7 Parts b-d

(7) (a) The Sun has a surface temperature of 5770 K. It has a radius of 6.957 x 10° m. It radiates with a thermal spectrum (also called a Planck spectrum, or a blackbody spectrum). How many Watts is the total power output of the Sun? (b) What is the average (not instantaneous) energy density (in Joules/m) of e/m radiation at the surface of the Sun? (c) The electric fields from two e/m waves are described by E = 10.0 cos(kr – wt) N/C and E2 = 15.0 cos(kr –wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)? (d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-5 m. A diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the first-order minimum of this pattern located? (e) A neutron (with mass m, = 939.566 MeV/c?) is confined inside a nucleus of the most common isotope of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the neutron, in m/s?
Transcribed Image Text:(7) (a) The Sun has a surface temperature of 5770 K. It has a radius of 6.957 x 10° m. It radiates with a thermal spectrum (also called a Planck spectrum, or a blackbody spectrum). How many Watts is the total power output of the Sun? (b) What is the average (not instantaneous) energy density (in Joules/m) of e/m radiation at the surface of the Sun? (c) The electric fields from two e/m waves are described by E = 10.0 cos(kr – wt) N/C and E2 = 15.0 cos(kr –wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)? (d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-5 m. A diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the first-order minimum of this pattern located? (e) A neutron (with mass m, = 939.566 MeV/c?) is confined inside a nucleus of the most common isotope of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the neutron, in m/s?
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